30.1k views
4 votes
A container is in the form of a hemisphere of radius 21cm. find the capacity of the container

User Jeffery
by
4.7k points

1 Answer

3 votes

Hey there! I'm happy to help!

A hemisphere is half of a sphere. The prefix hemi- comes from Greek and means half (hemi- isn't used that much, though), so hemisphere is a half sphere.

The capacity of container is it's volume. The formula for the volume of a hemisphere is V=2/3·πr³. We get this from the sphere formula, which is V=4/3·πr³ but the hemisphere formula is half of it, giving us 2/3 instead of 4/3.

So, let's plug in our radius and find the volume of container. We will use 3.14 for pi.

V=2/3×3.14×21³

V=2/3×3.14×9261

V=19386.36

Therefore, the capacity of this container is 19386.36 centimetres cubed.

Now you can find the volume of a hemisphere! Have a wonderful day! :D

User Siem Abera
by
4.1k points